using the properties of logs to verify, how do I get -(3 ln 2 + ln 3) from -ln 24

Question

anonymous · Answer

2 points and a medal

anonymous · Answer

Thank you Xeph

anonymous · Answer

Starting with -ln 24 and trying to make it equal to the other side$$-\ln 24=-\ln(3\times8)$$$$=-(\ln3+\ln8)$$$$=-(\ln3+\ln2^3)$$$$=-(\ln3+3\ln2)$$

anonymous · Answer

Thank you so much!

anonymous · Answer

No problem. Do you understand the logarithm laws I used?

anonymous · Answer

Kind of, but why did you multiply 3 and 8? I know to get 24, but can you always do that?

anonymous · Answer

I have to go to bed soon... are you always available around 6:30 - 8 almost every night on here?

anonymous · Answer

It might not be as obvious in other problems, but since I was trying to make it equal to the other side and i saw ln3 was one of the elements so dividing 3 out of 24 would likely be a good first step

anonymous · Answer

nah i have inconsistent times, but i'm on fairly often; i'm heading to bed now too

anonymous · Answer

Good night!

anonymous · Answer

you too

anonymous · Answer

Go Chicago Bulls!